Search a number
-
+
142605520 = 24517234797
BaseRepresentation
bin10000111111111…
…11110011010000
3100221100002222221
420133333303100
5243001334040
622052310424
73351061351
oct1037776320
9327302887
10142605520
1173551702
123b912414
1323710285
1414d21d28
15c7bd74a
hex87ffcd0

142605520 has 160 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 49741824.

The previous prime is 142605481. The next prime is 142605523. The reversal of 142605520 is 25506241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142605523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470112 + ... + 1470208.

Almost surely, 2142605520 is an apocalyptic number.

142605520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142605520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

142605520 is an abundant number, since it is smaller than the sum of its proper divisors (235370288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142605520 is a wasteful number, since it uses less digits than its factorization.

142605520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 142605520 is about 11941.7553148605. The cubic root of 142605520 is about 522.4508565457.

The spelling of 142605520 in words is "one hundred forty-two million, six hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 47 68 80 85 92 94 97 115 136 170 184 188 194 230 235 272 340 368 376 388 391 460 470 485 680 752 776 782 799 920 940 970 1081 1360 1552 1564 1598 1649 1840 1880 1940 1955 2162 2231 3128 3196 3298 3760 3880 3910 3995 4324 4462 4559 5405 6256 6392 6596 7760 7820 7990 8245 8648 8924 9118 10810 11155 12784 13192 15640 15980 16490 17296 17848 18236 18377 21620 22310 22795 26384 31280 31960 32980 35696 36472 36754 37927 43240 44620 45590 63920 65960 72944 73508 75854 77503 86480 89240 91180 91885 104857 131920 147016 151708 155006 178480 182360 183770 189635 209714 294032 303416 310012 364720 367540 379270 387515 419428 524285 606832 620024 735080 758540 775030 838856 1048570 1240048 1470160 1517080 1550060 1677712 1782569 2097140 3034160 3100120 3565138 4194280 6200240 7130276 8388560 8912845 14260552 17825690 28521104 35651380 71302760 142605520